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68 relations: Algebraic modeling language, APOPT, Argonne National Laboratory, Artelys Knitro, Automatic differentiation, AWK, Bell Labs, Bilinear form, Brian Kernighan, C (programming language), COIN-OR, Commercial software, Complementarity theory, Constraint programming, Control flow, Convex function, CPLEX, Cross-platform, Database, Declarative programming, FICO Xpress, FortMP, Free and open-source software, Gecode, George Dantzig, Global optimization, Gurobi, Imperative programming, Institute for Operations Research and the Management Sciences, Integrated development environment, IPOPT, JaCoP (solver), Linear programming, Linux, Lucent, MacOS, Management Science (journal), Mathematical optimization, Microsoft Excel, Microsoft Windows, MINOS (optimization software), MINTO, MOSEK, NEOS Server, Nl (format), Nonlinear programming, Northwestern University, Open-source model, Operating system, Piecewise linear function, ..., Programming paradigm, Proprietary software, Pyomo, Quadratic programming, Quadratically constrained quadratic program, Robert Fourer, SCIP (optimization software), Second-order cone programming, Semidefinite programming, SNOPT, Sol (format), Solver, SolverStudio, Spreadsheet, University of Wisconsin–Madison, Unix, WORHP, XML. Expand index (18 more) »
Algebraic modeling language
Algebraic modeling languages (AML) are high-level computer programming languages for describing and solving high complexity problems for large scale mathematical computation (i.e. large scale optimization type problems).
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APOPT
APOPT (for Advanced Process OPTimizer) is a software package for solving large-scale optimization problems of any of these forms.
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Argonne National Laboratory
Argonne National Laboratory is a science and engineering research national laboratory operated by the University of Chicago Argonne LLC for the United States Department of Energy located near Lemont, Illinois, outside Chicago.
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Artelys Knitro
Artelys Knitro is a commercial software package for solving large scale nonlinear mathematical optimization problems.
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Automatic differentiation
In mathematics and computer algebra, automatic differentiation (AD), also called algorithmic differentiation or computational differentiation, is a set of techniques to numerically evaluate the derivative of a function specified by a computer program.
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AWK
AWK is a programming language designed for text processing and typically used as a data extraction and reporting tool.
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Bell Labs
Nokia Bell Labs (formerly named AT&T Bell Laboratories, Bell Telephone Laboratories and Bell Labs) is an American research and scientific development company, owned by Finnish company Nokia.
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Bilinear form
In mathematics, more specifically in abstract algebra and linear algebra, a bilinear form on a vector space V is a bilinear map, where K is the field of scalars.
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Brian Kernighan
Brian Wilson Kernighan (born January 1, 1942) is a Canadian computer scientist who worked at Bell Labs alongside Unix creators Ken Thompson and Dennis Ritchie and contributed to the development of Unix.
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C (programming language)
C (as in the letter ''c'') is a general-purpose, imperative computer programming language, supporting structured programming, lexical variable scope and recursion, while a static type system prevents many unintended operations.
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COIN-OR
Computational Infrastructure for Operations Research (COIN-OR), is a project that aims to "create for mathematical software what the open literature is for mathematical theory." The open literature (e.g., a research journal) provides the operations research (OR) community with a peer-review process and an archive.
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Commercial software
Commercial software, or seldom payware, is computer software that is produced for sale or that serves commercial purposes.
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Complementarity theory
A complementarity problem is a type of mathematical optimization problem.
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Constraint programming
In computer science, constraint programming is a programming paradigm wherein relations between variables are stated in the form of constraints.
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Control flow
In computer science, control flow (or flow of control) is the order in which individual statements, instructions or function calls of an imperative program are executed or evaluated.
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Convex function
In mathematics, a real-valued function defined on an ''n''-dimensional interval is called convex (or convex downward or concave upward) if the line segment between any two points on the graph of the function lies above or on the graph, in a Euclidean space (or more generally a vector space) of at least two dimensions.
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CPLEX
IBM ILOG CPLEX Optimization Studio (often informally referred to simply as CPLEX) is an optimization software package.
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Cross-platform
In computing, cross-platform software (also multi-platform software or platform-independent software) is computer software that is implemented on multiple computing platforms.
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Database
A database is an organized collection of data, stored and accessed electronically.
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Declarative programming
In computer science, declarative programming is a programming paradigm—a style of building the structure and elements of computer programs—that expresses the logic of a computation without describing its control flow.
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FICO Xpress
The FICO Xpress Optimizer is a commercial optimization solver for linear programming (LP), mixed integer linear programming (MILP), convex quadratic programming (QP), convex quadratically constrained quadratic programming (QCQP), second-order cone programming (SOCP) and their mixed integer counterparts.
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FortMP
FortMP is a software package for solving large-scale optimization problems.
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Free and open-source software
Free and open-source software (FOSS) is software that can be classified as both free software and open-source software.
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Gecode
Gecode (for Generic Constraint Development Environment) is a software library for solving Constraint satisfaction problems.
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George Dantzig
George Bernard Dantzig (November 8, 1914 – May 13, 2005) was an American mathematical scientist who made important contributions to operations research, computer science, economics, and statistics.
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Global optimization
Global optimization is a branch of applied mathematics and numerical analysis that deals with the global optimization of a function or a set of functions according to some criteria.
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Gurobi
The Gurobi Optimizer is a commercial optimization solver for linear programming (LP), quadratic programming (QP), quadratically constrained programming (QCP), mixed integer linear programming (MILP), mixed-integer quadratic programming (MIQP), and mixed-integer quadratically constrained programming (MIQCP).
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Imperative programming
In computer science, imperative programming is a programming paradigm that uses statements that change a program's state.
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Institute for Operations Research and the Management Sciences
The Institute for Operations Research and the Management Sciences (INFORMS) is an international society for practitioners in the fields of operations research (OR), management science, and analytics.
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Integrated development environment
An integrated development environment (IDE) is a software application that provides comprehensive facilities to computer programmers for software development.
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IPOPT
IPOPT, short for "Interior Point OPTimizer, pronounced I-P-Opt", is a software library for large scale nonlinear optimization of continuous systems.
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JaCoP (solver)
JaCoP is a constraint solver for constraint satisfaction problems.
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Linear programming
Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.
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Linux
Linux is a family of free and open-source software operating systems built around the Linux kernel.
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Lucent
Lucent Technologies, Inc., was an American multinational telecommunications equipment company headquartered in Murray Hill, New Jersey, in the United States.
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MacOS
macOS (previously and later) is a series of graphical operating systems developed and marketed by Apple Inc. since 2001.
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Management Science (journal)
Management Science is a peer-reviewed academic journal that covers research on all aspects of management related to strategy, entrepreneurship, innovation, information technology, and organizations as well as all functional areas of business, such as accounting, finance, marketing, and operations.
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Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization or mathematical programming, alternatively spelled optimisation, is the selection of a best element (with regard to some criterion) from some set of available alternatives.
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Microsoft Excel
Microsoft Excel is a spreadsheet developed by Microsoft for Windows, macOS, Android and iOS.
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Microsoft Windows
Microsoft Windows is a group of several graphical operating system families, all of which are developed, marketed, and sold by Microsoft.
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MINOS (optimization software)
MINOS is a Fortran software package for solving linear and nonlinear mathematical optimization problems.
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MINTO
MINTO (Mixed Integer Optimizer) is an integer programming solver which uses branch and bound algorithm.
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MOSEK
MOSEK is a software package for the solution of linear, mixed-integer linear, quadratic, mixed-integer quadratic, quadratically constraint, conic and convex nonlinear mathematical optimization problems.
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NEOS Server
The NEOS Server is an Internet-based client-server application that provides free access to a library of optimization solvers.
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Nl (format)
nl is a file format for presenting and archiving mathematical programming problems.
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Nonlinear programming
In mathematics, nonlinear programming is the process of solving an optimization problem defined by a system of equalities and inequalities, collectively termed constraints, over a set of unknown real variables, along with an objective function to be maximized or minimized, where some of the constraints or the objective function are nonlinear.
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Northwestern University
Northwestern University (NU) is a private research university based in Evanston, Illinois, United States, with other campuses located in Chicago and Doha, Qatar, and academic programs and facilities in Miami, Florida, Washington, D.C., and San Francisco, California.
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Open-source model
The open-source model is a decentralized software-development model that encourages open collaboration.
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Operating system
An operating system (OS) is system software that manages computer hardware and software resources and provides common services for computer programs.
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Piecewise linear function
In mathematics, a piecewise linear function is a real-valued function defined on the real numbers or a segment thereof, whose graph is composed of straight-line sections.
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Programming paradigm
Programming paradigms are a way to classify programming languages based on their features.
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Proprietary software
Proprietary software is non-free computer software for which the software's publisher or another person retains intellectual property rights—usually copyright of the source code, but sometimes patent rights.
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Pyomo
Pyomo is a collection of Python software packages for formulating optimization models.
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Quadratic programming
Quadratic programming (QP) is the process of solving a special type of mathematical optimization problem—specifically, a (linearly constrained) quadratic optimization problem, that is, the problem of optimizing (minimizing or maximizing) a quadratic function of several variables subject to linear constraints on these variables.
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Quadratically constrained quadratic program
In mathematical optimization, a quadratically constrained quadratic program (QCQP) is an optimization problem in which both the objective function and the constraints are quadratic functions.
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Robert Fourer
Robert Fourer (born September 2, 1950) is a scientist working in the area of operational research and management science.
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SCIP (optimization software)
SCIP (Solving Constraint Integer Programs) is a mixed integer programming solver and a framework for Branch and cut and Branch and price, developed primarily at Zuse Institute Berlin.
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Second-order cone programming
A second-order cone program (SOCP) is a convex optimization problem of the form where the problem parameters are f \in \mathbb^n, \ A_i \in \mathbb^, \ b_i \in \mathbb^, \ c_i \in \mathbb^n, \ d_i \in \mathbb, \ F \in \mathbb^, and g \in \mathbb^p.
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Semidefinite programming
Semidefinite programming (SDP) is a subfield of convex optimization concerned with the optimization of a linear objective function (a user-specified function that the user wants to minimize or maximize) over the intersection of the cone of positive semidefinite matrices with an affine space, i.e., a spectrahedron.
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SNOPT
SNOPT, for Sparse Nonlinear OPTimizer, is a software package for solving large-scale nonlinear optimization problems written by Philip Gill, Walter Murray and Michael Saunders.
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Sol (format)
sol is a file format for representing solutions of mathematical programming problems.
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Solver
A solver is a piece of mathematical software, possibly in the form of a stand-alone computer program or as a software library, that 'solves' a mathematical problem.
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SolverStudio
SolverStudio is a free Excel plug-in developed at the University of Auckland that supports optimization and simulation modelling in a spreadsheet using an algebraic modeling language.
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Spreadsheet
A spreadsheet is an interactive computer application for organization, analysis and storage of data in tabular form.
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University of Wisconsin–Madison
The University of Wisconsin–Madison (also known as University of Wisconsin, Wisconsin, UW, or regionally as UW–Madison, or simply Madison) is a public research university in Madison, Wisconsin, United States.
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Unix
Unix (trademarked as UNIX) is a family of multitasking, multiuser computer operating systems that derive from the original AT&T Unix, development starting in the 1970s at the Bell Labs research center by Ken Thompson, Dennis Ritchie, and others.
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WORHP
WORHP ("warp"), also referred to as eNLP (European NLP solver) by ESA, is a mathematical software library for solving continuous large scale nonlinear optimization problems numerically.
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XML
In computing, Extensible Markup Language (XML) is a markup language that defines a set of rules for encoding documents in a format that is both human-readable and machine-readable.
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AMPL (programming language), AMPL programming language.
References
[1] https://en.wikipedia.org/wiki/AMPL
